pith. sign in
Pith Number

pith:DHZK3LNY

pith:2003:DHZK3LNY5VJROVJMCQVKPCFWI7
not attested not anchored not stored refs pending

On the global version of Euler-Lagrange equations

J. E. Solomin, R. E. Gamboa Sarav\'i

arxiv:math-ph/0305045 v1 · 2003-05-22 · math-ph · math.DG · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DHZK3LNY5VJROVJMCQVKPCFWI7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T01:08:59.953892Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

19f2adadb8ed5317552c142aa788b647c090041d3d3beb04fe9001c10625d1a8

Aliases

arxiv: math-ph/0305045 · arxiv_version: math-ph/0305045v1 · doi: 10.48550/arxiv.math-ph/0305045 · pith_short_12: DHZK3LNY5VJR · pith_short_16: DHZK3LNY5VJROVJM · pith_short_8: DHZK3LNY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DHZK3LNY5VJROVJMCQVKPCFWI7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 19f2adadb8ed5317552c142aa788b647c090041d3d3beb04fe9001c10625d1a8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8129a6acd3ff4595c78e302aa392b8e1ebb3ae0938a3739b87218b5e6bd4a3f0",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-05-22T18:16:49Z",
    "title_canon_sha256": "7fa521ee2805c706c4fa0e072f943bb5306198ca95bfe9185c02e89e627fb091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0305045",
    "kind": "arxiv",
    "version": 1
  }
}